Abstract
The main goal of this paper is to obtain the exact quantum solutions for
charge space in a superconductor with time-dependent parameters using
the London approach. We introduce a new quantization scheme for the
charge inside a superconductor based on the Lewis and Riesenfeld
invariant operator method. From the wave-functions obtained, we
calculated the time-dependent uncertainties and the mean energy of the
system. Information measures were also obtained, such as Shannon entropy
and complexity. The later is always time-independent and also does not
depend on conductivity. The other quantities are written in terms of a
time-dependent function, rho(t), c-number quantity satisfying a
nonlinear differential equation.
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